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expose isl_aff_param_on_domain_space_id
[isl.git] / isl_space.c
blobc4682a7e507b2d2bbe2f6066edee6ee5b9c601b4
1 /*
2 * Copyright 2008-2009 Katholieke Universiteit Leuven
3 * Copyright 2010 INRIA Saclay
4 * Copyright 2013-2014 Ecole Normale Superieure
5 *
6 * Use of this software is governed by the MIT license
7 *
8 * Written by Sven Verdoolaege, K.U.Leuven, Departement
9 * Computerwetenschappen, Celestijnenlaan 200A, B-3001 Leuven, Belgium
10 * and INRIA Saclay - Ile-de-France, Parc Club Orsay Universite,
11 * ZAC des vignes, 4 rue Jacques Monod, 91893 Orsay, France
12 * and Ecole Normale Superieure, 45 rue d’Ulm, 75230 Paris, France
13 */
14
15 #include <stdlib.h>
16 #include <string.h>
17 #include <isl_space_private.h>
18 #include <isl_id_private.h>
19 #include <isl_reordering.h>
20
21 isl_ctx *isl_space_get_ctx(__isl_keep isl_space *dim)
22 {
23 return dim ? dim->ctx : NULL;
24 }
25
26 __isl_give isl_space *isl_space_alloc(isl_ctx *ctx,
27 unsigned nparam, unsigned n_in, unsigned n_out)
28 {
29 isl_space *dim;
30
31 dim = isl_alloc_type(ctx, struct isl_space);
32 if (!dim)
33 return NULL;
34
35 dim->ctx = ctx;
36 isl_ctx_ref(ctx);
37 dim->ref = 1;
38 dim->nparam = nparam;
39 dim->n_in = n_in;
40 dim->n_out = n_out;
41
42 dim->tuple_id[0] = NULL;
43 dim->tuple_id[1] = NULL;
44
45 dim->nested[0] = NULL;
46 dim->nested[1] = NULL;
47
48 dim->n_id = 0;
49 dim->ids = NULL;
50
51 return dim;
52 }
53
54 /* Mark the space as being that of a set, by setting the domain tuple
55 * to isl_id_none.
56 */
57 static __isl_give isl_space *mark_as_set(__isl_take isl_space *space)
58 {
59 space = isl_space_cow(space);
60 if (!space)
61 return NULL;
62 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
63 return space;
64 }
65
66 /* Is the space that of a set?
67 */
68 isl_bool isl_space_is_set(__isl_keep isl_space *space)
69 {
70 if (!space)
71 return isl_bool_error;
72 if (space->n_in != 0 || space->nested[0])
73 return isl_bool_false;
74 if (space->tuple_id[0] != &isl_id_none)
75 return isl_bool_false;
76 return isl_bool_true;
77 }
78
79 /* Is the given space that of a map?
80 */
81 isl_bool isl_space_is_map(__isl_keep isl_space *space)
82 {
83 if (!space)
84 return isl_bool_error;
85 return space->tuple_id[0] != &isl_id_none &&
86 space->tuple_id[1] != &isl_id_none;
87 }
88
89 __isl_give isl_space *isl_space_set_alloc(isl_ctx *ctx,
90 unsigned nparam, unsigned dim)
91 {
92 isl_space *space;
93 space = isl_space_alloc(ctx, nparam, 0, dim);
94 space = mark_as_set(space);
95 return space;
96 }
97
98 /* Mark the space as being that of a parameter domain, by setting
99 * both tuples to isl_id_none.
100 */
101 static __isl_give isl_space *mark_as_params(isl_space *space)
102 {
103 if (!space)
104 return NULL;
105 space = isl_space_set_tuple_id(space, isl_dim_in, &isl_id_none);
106 space = isl_space_set_tuple_id(space, isl_dim_out, &isl_id_none);
107 return space;
108 }
109
110 /* Is the space that of a parameter domain?
111 */
112 isl_bool isl_space_is_params(__isl_keep isl_space *space)
113 {
114 if (!space)
115 return isl_bool_error;
116 if (space->n_in != 0 || space->nested[0] ||
117 space->n_out != 0 || space->nested[1])
118 return isl_bool_false;
119 if (space->tuple_id[0] != &isl_id_none)
120 return isl_bool_false;
121 if (space->tuple_id[1] != &isl_id_none)
122 return isl_bool_false;
123 return isl_bool_true;
124 }
125
126 /* Create a space for a parameter domain.
127 */
128 __isl_give isl_space *isl_space_params_alloc(isl_ctx *ctx, unsigned nparam)
129 {
130 isl_space *space;
131 space = isl_space_alloc(ctx, nparam, 0, 0);
132 space = mark_as_params(space);
133 return space;
134 }
135
136 static unsigned global_pos(__isl_keep isl_space *dim,
137 enum isl_dim_type type, unsigned pos)
138 {
139 struct isl_ctx *ctx = dim->ctx;
140
141 switch (type) {
142 case isl_dim_param:
143 isl_assert(ctx, pos < dim->nparam,
144 return isl_space_dim(dim, isl_dim_all));
145 return pos;
146 case isl_dim_in:
147 isl_assert(ctx, pos < dim->n_in,
148 return isl_space_dim(dim, isl_dim_all));
149 return pos + dim->nparam;
150 case isl_dim_out:
151 isl_assert(ctx, pos < dim->n_out,
152 return isl_space_dim(dim, isl_dim_all));
153 return pos + dim->nparam + dim->n_in;
154 default:
155 isl_assert(ctx, 0, return isl_space_dim(dim, isl_dim_all));
156 }
157 return isl_space_dim(dim, isl_dim_all);
158 }
159
160 /* Extend length of ids array to the total number of dimensions.
161 */
162 static __isl_give isl_space *extend_ids(__isl_take isl_space *dim)
163 {
164 isl_id **ids;
165 int i;
166
167 if (isl_space_dim(dim, isl_dim_all) <= dim->n_id)
168 return dim;
169
170 if (!dim->ids) {
171 dim->ids = isl_calloc_array(dim->ctx,
172 isl_id *, isl_space_dim(dim, isl_dim_all));
173 if (!dim->ids)
174 goto error;
175 } else {
176 ids = isl_realloc_array(dim->ctx, dim->ids,
177 isl_id *, isl_space_dim(dim, isl_dim_all));
178 if (!ids)
179 goto error;
180 dim->ids = ids;
181 for (i = dim->n_id; i < isl_space_dim(dim, isl_dim_all); ++i)
182 dim->ids[i] = NULL;
183 }
184
185 dim->n_id = isl_space_dim(dim, isl_dim_all);
186
187 return dim;
188 error:
189 isl_space_free(dim);
190 return NULL;
191 }
192
193 static __isl_give isl_space *set_id(__isl_take isl_space *dim,
194 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
195 {
196 dim = isl_space_cow(dim);
197
198 if (!dim)
199 goto error;
200
201 pos = global_pos(dim, type, pos);
202 if (pos == isl_space_dim(dim, isl_dim_all))
203 goto error;
204
205 if (pos >= dim->n_id) {
206 if (!id)
207 return dim;
208 dim = extend_ids(dim);
209 if (!dim)
210 goto error;
211 }
212
213 dim->ids[pos] = id;
214
215 return dim;
216 error:
217 isl_id_free(id);
218 isl_space_free(dim);
219 return NULL;
220 }
221
222 static __isl_keep isl_id *get_id(__isl_keep isl_space *dim,
223 enum isl_dim_type type, unsigned pos)
224 {
225 if (!dim)
226 return NULL;
227
228 pos = global_pos(dim, type, pos);
229 if (pos == isl_space_dim(dim, isl_dim_all))
230 return NULL;
231 if (pos >= dim->n_id)
232 return NULL;
233 return dim->ids[pos];
234 }
235
236 static unsigned offset(__isl_keep isl_space *dim, enum isl_dim_type type)
237 {
238 switch (type) {
239 case isl_dim_param: return 0;
240 case isl_dim_in: return dim->nparam;
241 case isl_dim_out: return dim->nparam + dim->n_in;
242 default: return 0;
243 }
244 }
245
246 static unsigned n(__isl_keep isl_space *dim, enum isl_dim_type type)
247 {
248 switch (type) {
249 case isl_dim_param: return dim->nparam;
250 case isl_dim_in: return dim->n_in;
251 case isl_dim_out: return dim->n_out;
252 case isl_dim_all: return dim->nparam + dim->n_in + dim->n_out;
253 default: return 0;
254 }
255 }
256
257 unsigned isl_space_dim(__isl_keep isl_space *dim, enum isl_dim_type type)
258 {
259 if (!dim)
260 return 0;
261 return n(dim, type);
262 }
263
264 unsigned isl_space_offset(__isl_keep isl_space *dim, enum isl_dim_type type)
265 {
266 if (!dim)
267 return 0;
268 return offset(dim, type);
269 }
270
271 static __isl_give isl_space *copy_ids(__isl_take isl_space *dst,
272 enum isl_dim_type dst_type, unsigned offset, __isl_keep isl_space *src,
273 enum isl_dim_type src_type)
274 {
275 int i;
276 isl_id *id;
277
278 if (!dst)
279 return NULL;
280
281 for (i = 0; i < n(src, src_type); ++i) {
282 id = get_id(src, src_type, i);
283 if (!id)
284 continue;
285 dst = set_id(dst, dst_type, offset + i, isl_id_copy(id));
286 if (!dst)
287 return NULL;
288 }
289 return dst;
290 }
291
292 __isl_take isl_space *isl_space_dup(__isl_keep isl_space *dim)
293 {
294 isl_space *dup;
295 if (!dim)
296 return NULL;
297 dup = isl_space_alloc(dim->ctx, dim->nparam, dim->n_in, dim->n_out);
298 if (!dup)
299 return NULL;
300 if (dim->tuple_id[0] &&
301 !(dup->tuple_id[0] = isl_id_copy(dim->tuple_id[0])))
302 goto error;
303 if (dim->tuple_id[1] &&
304 !(dup->tuple_id[1] = isl_id_copy(dim->tuple_id[1])))
305 goto error;
306 if (dim->nested[0] && !(dup->nested[0] = isl_space_copy(dim->nested[0])))
307 goto error;
308 if (dim->nested[1] && !(dup->nested[1] = isl_space_copy(dim->nested[1])))
309 goto error;
310 if (!dim->ids)
311 return dup;
312 dup = copy_ids(dup, isl_dim_param, 0, dim, isl_dim_param);
313 dup = copy_ids(dup, isl_dim_in, 0, dim, isl_dim_in);
314 dup = copy_ids(dup, isl_dim_out, 0, dim, isl_dim_out);
315 return dup;
316 error:
317 isl_space_free(dup);
318 return NULL;
319 }
320
321 __isl_give isl_space *isl_space_cow(__isl_take isl_space *dim)
322 {
323 if (!dim)
324 return NULL;
325
326 if (dim->ref == 1)
327 return dim;
328 dim->ref--;
329 return isl_space_dup(dim);
330 }
331
332 __isl_give isl_space *isl_space_copy(__isl_keep isl_space *dim)
333 {
334 if (!dim)
335 return NULL;
336
337 dim->ref++;
338 return dim;
339 }
340
341 __isl_null isl_space *isl_space_free(__isl_take isl_space *space)
342 {
343 int i;
344
345 if (!space)
346 return NULL;
347
348 if (--space->ref > 0)
349 return NULL;
350
351 isl_id_free(space->tuple_id[0]);
352 isl_id_free(space->tuple_id[1]);
353
354 isl_space_free(space->nested[0]);
355 isl_space_free(space->nested[1]);
356
357 for (i = 0; i < space->n_id; ++i)
358 isl_id_free(space->ids[i]);
359 free(space->ids);
360 isl_ctx_deref(space->ctx);
361
362 free(space);
363
364 return NULL;
365 }
366
367 /* Check if "s" is a valid dimension or tuple name.
368 * We currently only forbid names that look like a number.
369 *
370 * s is assumed to be non-NULL.
371 */
372 static int name_ok(isl_ctx *ctx, const char *s)
373 {
374 char *p;
375 long dummy;
376
377 dummy = strtol(s, &p, 0);
378 if (p != s)
379 isl_die(ctx, isl_error_invalid, "name looks like a number",
380 return 0);
381
382 return 1;
383 }
384
385 /* Is it possible for the given dimension type to have a tuple id?
386 */
387 static int space_can_have_id(__isl_keep isl_space *space,
388 enum isl_dim_type type)
389 {
390 if (!space)
391 return 0;
392 if (isl_space_is_params(space))
393 isl_die(space->ctx, isl_error_invalid,
394 "parameter spaces don't have tuple ids", return 0);
395 if (isl_space_is_set(space) && type != isl_dim_set)
396 isl_die(space->ctx, isl_error_invalid,
397 "set spaces can only have a set id", return 0);
398 if (type != isl_dim_in && type != isl_dim_out)
399 isl_die(space->ctx, isl_error_invalid,
400 "only input, output and set tuples can have ids",
401 return 0);
402
403 return 1;
404 }
405
406 /* Does the tuple have an id?
407 */
408 isl_bool isl_space_has_tuple_id(__isl_keep isl_space *dim,
409 enum isl_dim_type type)
410 {
411 if (!space_can_have_id(dim, type))
412 return isl_bool_error;
413 return dim->tuple_id[type - isl_dim_in] != NULL;
414 }
415
416 __isl_give isl_id *isl_space_get_tuple_id(__isl_keep isl_space *dim,
417 enum isl_dim_type type)
418 {
419 int has_id;
420
421 if (!dim)
422 return NULL;
423 has_id = isl_space_has_tuple_id(dim, type);
424 if (has_id < 0)
425 return NULL;
426 if (!has_id)
427 isl_die(dim->ctx, isl_error_invalid,
428 "tuple has no id", return NULL);
429 return isl_id_copy(dim->tuple_id[type - isl_dim_in]);
430 }
431
432 __isl_give isl_space *isl_space_set_tuple_id(__isl_take isl_space *dim,
433 enum isl_dim_type type, __isl_take isl_id *id)
434 {
435 dim = isl_space_cow(dim);
436 if (!dim || !id)
437 goto error;
438 if (type != isl_dim_in && type != isl_dim_out)
439 isl_die(dim->ctx, isl_error_invalid,
440 "only input, output and set tuples can have names",
441 goto error);
442
443 isl_id_free(dim->tuple_id[type - isl_dim_in]);
444 dim->tuple_id[type - isl_dim_in] = id;
445
446 return dim;
447 error:
448 isl_id_free(id);
449 isl_space_free(dim);
450 return NULL;
451 }
452
453 __isl_give isl_space *isl_space_reset_tuple_id(__isl_take isl_space *dim,
454 enum isl_dim_type type)
455 {
456 dim = isl_space_cow(dim);
457 if (!dim)
458 return NULL;
459 if (type != isl_dim_in && type != isl_dim_out)
460 isl_die(dim->ctx, isl_error_invalid,
461 "only input, output and set tuples can have names",
462 goto error);
463
464 isl_id_free(dim->tuple_id[type - isl_dim_in]);
465 dim->tuple_id[type - isl_dim_in] = NULL;
466
467 return dim;
468 error:
469 isl_space_free(dim);
470 return NULL;
471 }
472
473 /* Set the id of the given dimension of "space" to "id".
474 * If the dimension already has an id, then it is replaced.
475 * If the dimension is a parameter, then we need to change it
476 * in the nested spaces (if any) as well.
477 */
478 __isl_give isl_space *isl_space_set_dim_id(__isl_take isl_space *space,
479 enum isl_dim_type type, unsigned pos, __isl_take isl_id *id)
480 {
481 space = isl_space_cow(space);
482 if (!space || !id)
483 goto error;
484
485 if (type == isl_dim_param) {
486 int i;
487
488 for (i = 0; i < 2; ++i) {
489 if (!space->nested[i])
490 continue;
491 space->nested[i] =
492 isl_space_set_dim_id(space->nested[i],
493 type, pos, isl_id_copy(id));
494 if (!space->nested[i])
495 goto error;
496 }
497 }
498
499 isl_id_free(get_id(space, type, pos));
500 return set_id(space, type, pos, id);
501 error:
502 isl_id_free(id);
503 isl_space_free(space);
504 return NULL;
505 }
506
507 /* Reset the id of the given dimension of "space".
508 * If the dimension already has an id, then it is removed.
509 * If the dimension is a parameter, then we need to reset it
510 * in the nested spaces (if any) as well.
511 */
512 __isl_give isl_space *isl_space_reset_dim_id(__isl_take isl_space *space,
513 enum isl_dim_type type, unsigned pos)
514 {
515 space = isl_space_cow(space);
516 if (!space)
517 goto error;
518
519 if (type == isl_dim_param) {
520 int i;
521
522 for (i = 0; i < 2; ++i) {
523 if (!space->nested[i])
524 continue;
525 space->nested[i] =
526 isl_space_reset_dim_id(space->nested[i],
527 type, pos);
528 if (!space->nested[i])
529 goto error;
530 }
531 }
532
533 isl_id_free(get_id(space, type, pos));
534 return set_id(space, type, pos, NULL);
535 error:
536 isl_space_free(space);
537 return NULL;
538 }
539
540 isl_bool isl_space_has_dim_id(__isl_keep isl_space *dim,
541 enum isl_dim_type type, unsigned pos)
542 {
543 if (!dim)
544 return isl_bool_error;
545 return get_id(dim, type, pos) != NULL;
546 }
547
548 __isl_give isl_id *isl_space_get_dim_id(__isl_keep isl_space *dim,
549 enum isl_dim_type type, unsigned pos)
550 {
551 if (!dim)
552 return NULL;
553 if (!get_id(dim, type, pos))
554 isl_die(dim->ctx, isl_error_invalid,
555 "dim has no id", return NULL);
556 return isl_id_copy(get_id(dim, type, pos));
557 }
558
559 __isl_give isl_space *isl_space_set_tuple_name(__isl_take isl_space *dim,
560 enum isl_dim_type type, const char *s)
561 {
562 isl_id *id;
563
564 if (!dim)
565 return NULL;
566
567 if (!s)
568 return isl_space_reset_tuple_id(dim, type);
569
570 if (!name_ok(dim->ctx, s))
571 goto error;
572
573 id = isl_id_alloc(dim->ctx, s, NULL);
574 return isl_space_set_tuple_id(dim, type, id);
575 error:
576 isl_space_free(dim);
577 return NULL;
578 }
579
580 /* Does the tuple have a name?
581 */
582 isl_bool isl_space_has_tuple_name(__isl_keep isl_space *space,
583 enum isl_dim_type type)
584 {
585 isl_id *id;
586
587 if (!space_can_have_id(space, type))
588 return isl_bool_error;
589 id = space->tuple_id[type - isl_dim_in];
590 return id && id->name;
591 }
592
593 __isl_keep const char *isl_space_get_tuple_name(__isl_keep isl_space *dim,
594 enum isl_dim_type type)
595 {
596 isl_id *id;
597 if (!dim)
598 return NULL;
599 if (type != isl_dim_in && type != isl_dim_out)
600 return NULL;
601 id = dim->tuple_id[type - isl_dim_in];
602 return id ? id->name : NULL;
603 }
604
605 __isl_give isl_space *isl_space_set_dim_name(__isl_take isl_space *dim,
606 enum isl_dim_type type, unsigned pos,
607 const char *s)
608 {
609 isl_id *id;
610
611 if (!dim)
612 return NULL;
613 if (!s)
614 return isl_space_reset_dim_id(dim, type, pos);
615 if (!name_ok(dim->ctx, s))
616 goto error;
617 id = isl_id_alloc(dim->ctx, s, NULL);
618 return isl_space_set_dim_id(dim, type, pos, id);
619 error:
620 isl_space_free(dim);
621 return NULL;
622 }
623
624 /* Does the given dimension have a name?
625 */
626 isl_bool isl_space_has_dim_name(__isl_keep isl_space *space,
627 enum isl_dim_type type, unsigned pos)
628 {
629 isl_id *id;
630
631 if (!space)
632 return isl_bool_error;
633 id = get_id(space, type, pos);
634 return id && id->name;
635 }
636
637 __isl_keep const char *isl_space_get_dim_name(__isl_keep isl_space *dim,
638 enum isl_dim_type type, unsigned pos)
639 {
640 isl_id *id = get_id(dim, type, pos);
641 return id ? id->name : NULL;
642 }
643
644 int isl_space_find_dim_by_id(__isl_keep isl_space *dim, enum isl_dim_type type,
645 __isl_keep isl_id *id)
646 {
647 int i;
648 int offset;
649 int n;
650
651 if (!dim || !id)
652 return -1;
653
654 offset = isl_space_offset(dim, type);
655 n = isl_space_dim(dim, type);
656 for (i = 0; i < n && offset + i < dim->n_id; ++i)
657 if (dim->ids[offset + i] == id)
658 return i;
659
660 return -1;
661 }
662
663 int isl_space_find_dim_by_name(__isl_keep isl_space *space,
664 enum isl_dim_type type, const char *name)
665 {
666 int i;
667 int offset;
668 int n;
669
670 if (!space || !name)
671 return -1;
672
673 offset = isl_space_offset(space, type);
674 n = isl_space_dim(space, type);
675 for (i = 0; i < n && offset + i < space->n_id; ++i) {
676 isl_id *id = get_id(space, type, i);
677 if (id && id->name && !strcmp(id->name, name))
678 return i;
679 }
680
681 return -1;
682 }
683
684 /* Reset the user pointer on all identifiers of parameters and tuples
685 * of "space".
686 */
687 __isl_give isl_space *isl_space_reset_user(__isl_take isl_space *space)
688 {
689 int i;
690 isl_ctx *ctx;
691 isl_id *id;
692 const char *name;
693
694 if (!space)
695 return NULL;
696
697 ctx = isl_space_get_ctx(space);
698
699 for (i = 0; i < space->nparam && i < space->n_id; ++i) {
700 if (!isl_id_get_user(space->ids[i]))
701 continue;
702 space = isl_space_cow(space);
703 if (!space)
704 return NULL;
705 name = isl_id_get_name(space->ids[i]);
706 id = isl_id_alloc(ctx, name, NULL);
707 isl_id_free(space->ids[i]);
708 space->ids[i] = id;
709 if (!id)
710 return isl_space_free(space);
711 }
712
713 for (i = 0; i < 2; ++i) {
714 if (!space->tuple_id[i])
715 continue;
716 if (!isl_id_get_user(space->tuple_id[i]))
717 continue;
718 space = isl_space_cow(space);
719 if (!space)
720 return NULL;
721 name = isl_id_get_name(space->tuple_id[i]);
722 id = isl_id_alloc(ctx, name, NULL);
723 isl_id_free(space->tuple_id[i]);
724 space->tuple_id[i] = id;
725 if (!id)
726 return isl_space_free(space);
727 }
728
729 for (i = 0; i < 2; ++i) {
730 if (!space->nested[i])
731 continue;
732 space = isl_space_cow(space);
733 if (!space)
734 return NULL;
735 space->nested[i] = isl_space_reset_user(space->nested[i]);
736 if (!space->nested[i])
737 return isl_space_free(space);
738 }
739
740 return space;
741 }
742
743 static __isl_keep isl_id *tuple_id(__isl_keep isl_space *dim,
744 enum isl_dim_type type)
745 {
746 if (!dim)
747 return NULL;
748 if (type == isl_dim_in)
749 return dim->tuple_id[0];
750 if (type == isl_dim_out)
751 return dim->tuple_id[1];
752 return NULL;
753 }
754
755 static __isl_keep isl_space *nested(__isl_keep isl_space *dim,
756 enum isl_dim_type type)
757 {
758 if (!dim)
759 return NULL;
760 if (type == isl_dim_in)
761 return dim->nested[0];
762 if (type == isl_dim_out)
763 return dim->nested[1];
764 return NULL;
765 }
766
767 /* Are the two spaces the same, apart from positions and names of parameters?
768 */
769 isl_bool isl_space_has_equal_tuples(__isl_keep isl_space *space1,
770 __isl_keep isl_space *space2)
771 {
772 if (!space1 || !space2)
773 return isl_bool_error;
774 if (space1 == space2)
775 return isl_bool_true;
776 return isl_space_tuple_is_equal(space1, isl_dim_in,
777 space2, isl_dim_in) &&
778 isl_space_tuple_is_equal(space1, isl_dim_out,
779 space2, isl_dim_out);
780 }
781
782 /* Check if the tuple of type "type1" of "space1" is the same as
783 * the tuple of type "type2" of "space2".
784 *
785 * That is, check if the tuples have the same identifier, the same dimension
786 * and the same internal structure.
787 * The identifiers of the dimensions inside the tuples do not affect the result.
788 *
789 * Note that this function only checks the tuples themselves.
790 * If nested tuples are involved, then we need to be careful not
791 * to have result affected by possibly differing parameters
792 * in those nested tuples.
793 */
794 isl_bool isl_space_tuple_is_equal(__isl_keep isl_space *space1,
795 enum isl_dim_type type1, __isl_keep isl_space *space2,
796 enum isl_dim_type type2)
797 {
798 isl_id *id1, *id2;
799 isl_space *nested1, *nested2;
800
801 if (!space1 || !space2)
802 return isl_bool_error;
803
804 if (space1 == space2 && type1 == type2)
805 return isl_bool_true;
806
807 if (n(space1, type1) != n(space2, type2))
808 return isl_bool_false;
809 id1 = tuple_id(space1, type1);
810 id2 = tuple_id(space2, type2);
811 if (!id1 ^ !id2)
812 return isl_bool_false;
813 if (id1 && id1 != id2)
814 return isl_bool_false;
815 nested1 = nested(space1, type1);
816 nested2 = nested(space2, type2);
817 if (!nested1 ^ !nested2)
818 return isl_bool_false;
819 if (nested1 && !isl_space_has_equal_tuples(nested1, nested2))
820 return isl_bool_false;
821 return isl_bool_true;
822 }
823
824 /* This is the old, undocumented, name for isl_space_tuple_is_equal.
825 * It will be removed at some point.
826 */
827 int isl_space_tuple_match(__isl_keep isl_space *space1, enum isl_dim_type type1,
828 __isl_keep isl_space *space2, enum isl_dim_type type2)
829 {
830 return isl_space_tuple_is_equal(space1, type1, space2, type2);
831 }
832
833 static isl_bool match(__isl_keep isl_space *space1, enum isl_dim_type type1,
834 __isl_keep isl_space *space2, enum isl_dim_type type2)
835 {
836 int i;
837
838 if (space1 == space2 && type1 == type2)
839 return isl_bool_true;
840
841 if (!isl_space_tuple_is_equal(space1, type1, space2, type2))
842 return isl_bool_false;
843
844 if (!space1->ids && !space2->ids)
845 return isl_bool_true;
846
847 for (i = 0; i < n(space1, type1); ++i) {
848 if (get_id(space1, type1, i) != get_id(space2, type2, i))
849 return isl_bool_false;
850 }
851 return isl_bool_true;
852 }
853
854 /* Do "space1" and "space2" have the same parameters?
855 */
856 isl_bool isl_space_has_equal_params(__isl_keep isl_space *space1,
857 __isl_keep isl_space *space2)
858 {
859 if (!space1 || !space2)
860 return isl_bool_error;
861
862 return match(space1, isl_dim_param, space2, isl_dim_param);
863 }
864
865 /* Do "space1" and "space2" have the same identifiers for all
866 * the tuple variables?
867 */
868 isl_bool isl_space_has_equal_ids(__isl_keep isl_space *space1,
869 __isl_keep isl_space *space2)
870 {
871 isl_bool equal;
872
873 if (!space1 || !space2)
874 return isl_bool_error;
875
876 equal = match(space1, isl_dim_in, space2, isl_dim_in);
877 if (equal < 0 || !equal)
878 return equal;
879 return match(space1, isl_dim_out, space2, isl_dim_out);
880 }
881
882 isl_bool isl_space_match(__isl_keep isl_space *space1, enum isl_dim_type type1,
883 __isl_keep isl_space *space2, enum isl_dim_type type2)
884 {
885 if (!space1 || !space2)
886 return isl_bool_error;
887
888 return match(space1, type1, space2, type2);
889 }
890
891 static void get_ids(__isl_keep isl_space *dim, enum isl_dim_type type,
892 unsigned first, unsigned n, __isl_keep isl_id **ids)
893 {
894 int i;
895
896 for (i = 0; i < n ; ++i)
897 ids[i] = get_id(dim, type, first + i);
898 }
899
900 static __isl_give isl_space *space_extend(__isl_take isl_space *space,
901 unsigned nparam, unsigned n_in, unsigned n_out)
902 {
903 isl_id **ids = NULL;
904
905 if (!space)
906 return NULL;
907 if (space->nparam == nparam &&
908 space->n_in == n_in && space->n_out == n_out)
909 return space;
910
911 isl_assert(space->ctx, space->nparam <= nparam, goto error);
912 isl_assert(space->ctx, space->n_in <= n_in, goto error);
913 isl_assert(space->ctx, space->n_out <= n_out, goto error);
914
915 space = isl_space_cow(space);
916 if (!space)
917 goto error;
918
919 if (space->ids) {
920 unsigned n;
921 n = nparam + n_in + n_out;
922 if (n < nparam || n < n_in || n < n_out)
923 isl_die(isl_space_get_ctx(space), isl_error_invalid,
924 "overflow in total number of dimensions",
925 goto error);
926 ids = isl_calloc_array(space->ctx, isl_id *, n);
927 if (!ids)
928 goto error;
929 get_ids(space, isl_dim_param, 0, space->nparam, ids);
930 get_ids(space, isl_dim_in, 0, space->n_in, ids + nparam);
931 get_ids(space, isl_dim_out, 0, space->n_out,
932 ids + nparam + n_in);
933 free(space->ids);
934 space->ids = ids;
935 space->n_id = nparam + n_in + n_out;
936 }
937 space->nparam = nparam;
938 space->n_in = n_in;
939 space->n_out = n_out;
940
941 return space;
942 error:
943 free(ids);
944 isl_space_free(space);
945 return NULL;
946 }
947
948 __isl_give isl_space *isl_space_extend(__isl_take isl_space *space,
949 unsigned nparam, unsigned n_in, unsigned n_out)
950 {
951 return space_extend(space, nparam, n_in, n_out);
952 }
953
954 __isl_give isl_space *isl_space_add_dims(__isl_take isl_space *space,
955 enum isl_dim_type type, unsigned n)
956 {
957 space = isl_space_reset(space, type);
958 if (!space)
959 return NULL;
960 switch (type) {
961 case isl_dim_param:
962 space = space_extend(space,
963 space->nparam + n, space->n_in, space->n_out);
964 if (space && space->nested[0] &&
965 !(space->nested[0] = isl_space_add_dims(space->nested[0],
966 isl_dim_param, n)))
967 goto error;
968 if (space && space->nested[1] &&
969 !(space->nested[1] = isl_space_add_dims(space->nested[1],
970 isl_dim_param, n)))
971 goto error;
972 return space;
973 case isl_dim_in:
974 return space_extend(space,
975 space->nparam, space->n_in + n, space->n_out);
976 case isl_dim_out:
977 return space_extend(space,
978 space->nparam, space->n_in, space->n_out + n);
979 default:
980 isl_die(space->ctx, isl_error_invalid,
981 "cannot add dimensions of specified type", goto error);
982 }
983 error:
984 isl_space_free(space);
985 return NULL;
986 }
987
988 /* Add a parameter with identifier "id" to "space", provided
989 * it does not already appear in "space".
990 */
991 __isl_give isl_space *isl_space_add_param_id(__isl_take isl_space *space,
992 __isl_take isl_id *id)
993 {
994 int pos;
995
996 if (!space || !id)
997 goto error;
998
999 if (isl_space_find_dim_by_id(space, isl_dim_param, id) >= 0) {
1000 isl_id_free(id);
1001 return space;
1002 }
1003
1004 pos = isl_space_dim(space, isl_dim_param);
1005 space = isl_space_add_dims(space, isl_dim_param, 1);
1006 space = isl_space_set_dim_id(space, isl_dim_param, pos, id);
1007
1008 return space;
1009 error:
1010 isl_space_free(space);
1011 isl_id_free(id);
1012 return NULL;
1013 }
1014
1015 static int valid_dim_type(enum isl_dim_type type)
1016 {
1017 switch (type) {
1018 case isl_dim_param:
1019 case isl_dim_in:
1020 case isl_dim_out:
1021 return 1;
1022 default:
1023 return 0;
1024 }
1025 }
1026
1027 /* Insert "n" dimensions of type "type" at position "pos".
1028 * If we are inserting parameters, then they are also inserted in
1029 * any nested spaces.
1030 */
1031 __isl_give isl_space *isl_space_insert_dims(__isl_take isl_space *dim,
1032 enum isl_dim_type type, unsigned pos, unsigned n)
1033 {
1034 isl_id **ids = NULL;
1035
1036 if (!dim)
1037 return NULL;
1038 if (n == 0)
1039 return isl_space_reset(dim, type);
1040
1041 if (!valid_dim_type(type))
1042 isl_die(dim->ctx, isl_error_invalid,
1043 "cannot insert dimensions of specified type",
1044 goto error);
1045
1046 isl_assert(dim->ctx, pos <= isl_space_dim(dim, type), goto error);
1047
1048 dim = isl_space_cow(dim);
1049 if (!dim)
1050 return NULL;
1051
1052 if (dim->ids) {
1053 enum isl_dim_type t, o = isl_dim_param;
1054 int off;
1055 int s[3];
1056 ids = isl_calloc_array(dim->ctx, isl_id *,
1057 dim->nparam + dim->n_in + dim->n_out + n);
1058 if (!ids)
1059 goto error;
1060 off = 0;
1061 s[isl_dim_param - o] = dim->nparam;
1062 s[isl_dim_in - o] = dim->n_in;
1063 s[isl_dim_out - o] = dim->n_out;
1064 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1065 if (t != type) {
1066 get_ids(dim, t, 0, s[t - o], ids + off);
1067 off += s[t - o];
1068 } else {
1069 get_ids(dim, t, 0, pos, ids + off);
1070 off += pos + n;
1071 get_ids(dim, t, pos, s[t - o] - pos, ids + off);
1072 off += s[t - o] - pos;
1073 }
1074 }
1075 free(dim->ids);
1076 dim->ids = ids;
1077 dim->n_id = dim->nparam + dim->n_in + dim->n_out + n;
1078 }
1079 switch (type) {
1080 case isl_dim_param: dim->nparam += n; break;
1081 case isl_dim_in: dim->n_in += n; break;
1082 case isl_dim_out: dim->n_out += n; break;
1083 default: ;
1084 }
1085 dim = isl_space_reset(dim, type);
1086
1087 if (type == isl_dim_param) {
1088 if (dim && dim->nested[0] &&
1089 !(dim->nested[0] = isl_space_insert_dims(dim->nested[0],
1090 isl_dim_param, pos, n)))
1091 goto error;
1092 if (dim && dim->nested[1] &&
1093 !(dim->nested[1] = isl_space_insert_dims(dim->nested[1],
1094 isl_dim_param, pos, n)))
1095 goto error;
1096 }
1097
1098 return dim;
1099 error:
1100 isl_space_free(dim);
1101 return NULL;
1102 }
1103
1104 __isl_give isl_space *isl_space_move_dims(__isl_take isl_space *space,
1105 enum isl_dim_type dst_type, unsigned dst_pos,
1106 enum isl_dim_type src_type, unsigned src_pos, unsigned n)
1107 {
1108 int i;
1109
1110 space = isl_space_reset(space, src_type);
1111 space = isl_space_reset(space, dst_type);
1112 if (!space)
1113 return NULL;
1114 if (n == 0)
1115 return space;
1116
1117 isl_assert(space->ctx, src_pos + n <= isl_space_dim(space, src_type),
1118 goto error);
1119
1120 if (dst_type == src_type && dst_pos == src_pos)
1121 return space;
1122
1123 isl_assert(space->ctx, dst_type != src_type, goto error);
1124
1125 space = isl_space_cow(space);
1126 if (!space)
1127 return NULL;
1128
1129 if (space->ids) {
1130 isl_id **ids;
1131 enum isl_dim_type t, o = isl_dim_param;
1132 int off;
1133 int s[3];
1134 ids = isl_calloc_array(space->ctx, isl_id *,
1135 space->nparam + space->n_in + space->n_out);
1136 if (!ids)
1137 goto error;
1138 off = 0;
1139 s[isl_dim_param - o] = space->nparam;
1140 s[isl_dim_in - o] = space->n_in;
1141 s[isl_dim_out - o] = space->n_out;
1142 for (t = isl_dim_param; t <= isl_dim_out; ++t) {
1143 if (t == dst_type) {
1144 get_ids(space, t, 0, dst_pos, ids + off);
1145 off += dst_pos;
1146 get_ids(space, src_type, src_pos, n, ids + off);
1147 off += n;
1148 get_ids(space, t, dst_pos, s[t - o] - dst_pos,
1149 ids + off);
1150 off += s[t - o] - dst_pos;
1151 } else if (t == src_type) {
1152 get_ids(space, t, 0, src_pos, ids + off);
1153 off += src_pos;
1154 get_ids(space, t, src_pos + n,
1155 s[t - o] - src_pos - n, ids + off);
1156 off += s[t - o] - src_pos - n;
1157 } else {
1158 get_ids(space, t, 0, s[t - o], ids + off);
1159 off += s[t - o];
1160 }
1161 }
1162 free(space->ids);
1163 space->ids = ids;
1164 space->n_id = space->nparam + space->n_in + space->n_out;
1165 }
1166
1167 switch (dst_type) {
1168 case isl_dim_param: space->nparam += n; break;
1169 case isl_dim_in: space->n_in += n; break;
1170 case isl_dim_out: space->n_out += n; break;
1171 default: ;
1172 }
1173
1174 switch (src_type) {
1175 case isl_dim_param: space->nparam -= n; break;
1176 case isl_dim_in: space->n_in -= n; break;
1177 case isl_dim_out: space->n_out -= n; break;
1178 default: ;
1179 }
1180
1181 if (dst_type != isl_dim_param && src_type != isl_dim_param)
1182 return space;
1183
1184 for (i = 0; i < 2; ++i) {
1185 if (!space->nested[i])
1186 continue;
1187 space->nested[i] = isl_space_replace_params(space->nested[i],
1188 space);
1189 if (!space->nested[i])
1190 goto error;
1191 }
1192
1193 return space;
1194 error:
1195 isl_space_free(space);
1196 return NULL;
1197 }
1198
1199 /* Check that "space1" and "space2" have the same parameters,
1200 * reporting an error if they do not.
1201 */
1202 isl_stat isl_space_check_equal_params(__isl_keep isl_space *space1,
1203 __isl_keep isl_space *space2)
1204 {
1205 isl_bool equal;
1206
1207 equal = isl_space_has_equal_params(space1, space2);
1208 if (equal < 0)
1209 return isl_stat_error;
1210 if (!equal)
1211 isl_die(isl_space_get_ctx(space1), isl_error_invalid,
1212 "parameters need to match", return isl_stat_error);
1213 return isl_stat_ok;
1214 }
1215
1216 __isl_give isl_space *isl_space_join(__isl_take isl_space *left,
1217 __isl_take isl_space *right)
1218 {
1219 isl_space *dim;
1220
1221 if (isl_space_check_equal_params(left, right) < 0)
1222 goto error;
1223
1224 isl_assert(left->ctx,
1225 isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_in),
1226 goto error);
1227
1228 dim = isl_space_alloc(left->ctx, left->nparam, left->n_in, right->n_out);
1229 if (!dim)
1230 goto error;
1231
1232 dim = copy_ids(dim, isl_dim_param, 0, left, isl_dim_param);
1233 dim = copy_ids(dim, isl_dim_in, 0, left, isl_dim_in);
1234 dim = copy_ids(dim, isl_dim_out, 0, right, isl_dim_out);
1235
1236 if (dim && left->tuple_id[0] &&
1237 !(dim->tuple_id[0] = isl_id_copy(left->tuple_id[0])))
1238 goto error;
1239 if (dim && right->tuple_id[1] &&
1240 !(dim->tuple_id[1] = isl_id_copy(right->tuple_id[1])))
1241 goto error;
1242 if (dim && left->nested[0] &&
1243 !(dim->nested[0] = isl_space_copy(left->nested[0])))
1244 goto error;
1245 if (dim && right->nested[1] &&
1246 !(dim->nested[1] = isl_space_copy(right->nested[1])))
1247 goto error;
1248
1249 isl_space_free(left);
1250 isl_space_free(right);
1251
1252 return dim;
1253 error:
1254 isl_space_free(left);
1255 isl_space_free(right);
1256 return NULL;
1257 }
1258
1259 /* Given two map spaces { A -> C } and { B -> D }, construct the space
1260 * { [A -> B] -> [C -> D] }.
1261 * Given two set spaces { A } and { B }, construct the space { [A -> B] }.
1262 */
1263 __isl_give isl_space *isl_space_product(__isl_take isl_space *left,
1264 __isl_take isl_space *right)
1265 {
1266 isl_space *dom1, *dom2, *nest1, *nest2;
1267 int is_set;
1268
1269 if (!left || !right)
1270 goto error;
1271
1272 is_set = isl_space_is_set(left);
1273 if (is_set != isl_space_is_set(right))
1274 isl_die(isl_space_get_ctx(left), isl_error_invalid,
1275 "expecting either two set spaces or two map spaces",
1276 goto error);
1277 if (is_set)
1278 return isl_space_range_product(left, right);
1279
1280 if (isl_space_check_equal_params(left, right) < 0)
1281 goto error;
1282
1283 dom1 = isl_space_domain(isl_space_copy(left));
1284 dom2 = isl_space_domain(isl_space_copy(right));
1285 nest1 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1286
1287 dom1 = isl_space_range(left);
1288 dom2 = isl_space_range(right);
1289 nest2 = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1290
1291 return isl_space_join(isl_space_reverse(nest1), nest2);
1292 error:
1293 isl_space_free(left);
1294 isl_space_free(right);
1295 return NULL;
1296 }
1297
1298 /* Given two spaces { A -> C } and { B -> C }, construct the space
1299 * { [A -> B] -> C }
1300 */
1301 __isl_give isl_space *isl_space_domain_product(__isl_take isl_space *left,
1302 __isl_take isl_space *right)
1303 {
1304 isl_space *ran, *dom1, *dom2, *nest;
1305
1306 if (isl_space_check_equal_params(left, right) < 0)
1307 goto error;
1308
1309 if (!isl_space_tuple_is_equal(left, isl_dim_out, right, isl_dim_out))
1310 isl_die(left->ctx, isl_error_invalid,
1311 "ranges need to match", goto error);
1312
1313 ran = isl_space_range(isl_space_copy(left));
1314
1315 dom1 = isl_space_domain(left);
1316 dom2 = isl_space_domain(right);
1317 nest = isl_space_wrap(isl_space_join(isl_space_reverse(dom1), dom2));
1318
1319 return isl_space_join(isl_space_reverse(nest), ran);
1320 error:
1321 isl_space_free(left);
1322 isl_space_free(right);
1323 return NULL;
1324 }
1325
1326 __isl_give isl_space *isl_space_range_product(__isl_take isl_space *left,
1327 __isl_take isl_space *right)
1328 {
1329 isl_space *dom, *ran1, *ran2, *nest;
1330
1331 if (isl_space_check_equal_params(left, right) < 0)
1332 goto error;
1333
1334 if (!isl_space_tuple_is_equal(left, isl_dim_in, right, isl_dim_in))
1335 isl_die(left->ctx, isl_error_invalid,
1336 "domains need to match", goto error);
1337
1338 dom = isl_space_domain(isl_space_copy(left));
1339
1340 ran1 = isl_space_range(left);
1341 ran2 = isl_space_range(right);
1342 nest = isl_space_wrap(isl_space_join(isl_space_reverse(ran1), ran2));
1343
1344 return isl_space_join(isl_space_reverse(dom), nest);
1345 error:
1346 isl_space_free(left);
1347 isl_space_free(right);
1348 return NULL;
1349 }
1350
1351 /* Given a space of the form [A -> B] -> C, return the space A -> C.
1352 */
1353 __isl_give isl_space *isl_space_domain_factor_domain(
1354 __isl_take isl_space *space)
1355 {
1356 isl_space *nested;
1357 isl_space *domain;
1358
1359 if (!space)
1360 return NULL;
1361 if (!isl_space_domain_is_wrapping(space))
1362 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1363 "domain not a product", return isl_space_free(space));
1364
1365 nested = space->nested[0];
1366 domain = isl_space_copy(space);
1367 domain = isl_space_drop_dims(domain, isl_dim_in,
1368 nested->n_in, nested->n_out);
1369 if (!domain)
1370 return isl_space_free(space);
1371 if (nested->tuple_id[0]) {
1372 domain->tuple_id[0] = isl_id_copy(nested->tuple_id[0]);
1373 if (!domain->tuple_id[0])
1374 goto error;
1375 }
1376 if (nested->nested[0]) {
1377 domain->nested[0] = isl_space_copy(nested->nested[0]);
1378 if (!domain->nested[0])
1379 goto error;
1380 }
1381
1382 isl_space_free(space);
1383 return domain;
1384 error:
1385 isl_space_free(space);
1386 isl_space_free(domain);
1387 return NULL;
1388 }
1389
1390 /* Given a space of the form [A -> B] -> C, return the space B -> C.
1391 */
1392 __isl_give isl_space *isl_space_domain_factor_range(
1393 __isl_take isl_space *space)
1394 {
1395 isl_space *nested;
1396 isl_space *range;
1397
1398 if (!space)
1399 return NULL;
1400 if (!isl_space_domain_is_wrapping(space))
1401 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1402 "domain not a product", return isl_space_free(space));
1403
1404 nested = space->nested[0];
1405 range = isl_space_copy(space);
1406 range = isl_space_drop_dims(range, isl_dim_in, 0, nested->n_in);
1407 if (!range)
1408 return isl_space_free(space);
1409 if (nested->tuple_id[1]) {
1410 range->tuple_id[0] = isl_id_copy(nested->tuple_id[1]);
1411 if (!range->tuple_id[0])
1412 goto error;
1413 }
1414 if (nested->nested[1]) {
1415 range->nested[0] = isl_space_copy(nested->nested[1]);
1416 if (!range->nested[0])
1417 goto error;
1418 }
1419
1420 isl_space_free(space);
1421 return range;
1422 error:
1423 isl_space_free(space);
1424 isl_space_free(range);
1425 return NULL;
1426 }
1427
1428 /* Internal function that selects the domain of the map that is
1429 * embedded in either a set space or the range of a map space.
1430 * In particular, given a space of the form [A -> B], return the space A.
1431 * Given a space of the form A -> [B -> C], return the space A -> B.
1432 */
1433 static __isl_give isl_space *range_factor_domain(__isl_take isl_space *space)
1434 {
1435 isl_space *nested;
1436 isl_space *domain;
1437
1438 if (!space)
1439 return NULL;
1440
1441 nested = space->nested[1];
1442 domain = isl_space_copy(space);
1443 domain = isl_space_drop_dims(domain, isl_dim_out,
1444 nested->n_in, nested->n_out);
1445 if (!domain)
1446 return isl_space_free(space);
1447 if (nested->tuple_id[0]) {
1448 domain->tuple_id[1] = isl_id_copy(nested->tuple_id[0]);
1449 if (!domain->tuple_id[1])
1450 goto error;
1451 }
1452 if (nested->nested[0]) {
1453 domain->nested[1] = isl_space_copy(nested->nested[0]);
1454 if (!domain->nested[1])
1455 goto error;
1456 }
1457
1458 isl_space_free(space);
1459 return domain;
1460 error:
1461 isl_space_free(space);
1462 isl_space_free(domain);
1463 return NULL;
1464 }
1465
1466 /* Given a space of the form A -> [B -> C], return the space A -> B.
1467 */
1468 __isl_give isl_space *isl_space_range_factor_domain(
1469 __isl_take isl_space *space)
1470 {
1471 if (!space)
1472 return NULL;
1473 if (!isl_space_range_is_wrapping(space))
1474 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1475 "range not a product", return isl_space_free(space));
1476
1477 return range_factor_domain(space);
1478 }
1479
1480 /* Given a space of the form [A -> B], return the space A.
1481 */
1482 static __isl_give isl_space *set_factor_domain(__isl_take isl_space *space)
1483 {
1484 if (!space)
1485 return NULL;
1486 if (!isl_space_is_wrapping(space))
1487 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1488 "not a product", return isl_space_free(space));
1489
1490 return range_factor_domain(space);
1491 }
1492
1493 /* Given a space of the form [A -> B] -> [C -> D], return the space A -> C.
1494 * Given a space of the form [A -> B], return the space A.
1495 */
1496 __isl_give isl_space *isl_space_factor_domain(__isl_take isl_space *space)
1497 {
1498 if (!space)
1499 return NULL;
1500 if (isl_space_is_set(space))
1501 return set_factor_domain(space);
1502 space = isl_space_domain_factor_domain(space);
1503 space = isl_space_range_factor_domain(space);
1504 return space;
1505 }
1506
1507 /* Internal function that selects the range of the map that is
1508 * embedded in either a set space or the range of a map space.
1509 * In particular, given a space of the form [A -> B], return the space B.
1510 * Given a space of the form A -> [B -> C], return the space A -> C.
1511 */
1512 static __isl_give isl_space *range_factor_range(__isl_take isl_space *space)
1513 {
1514 isl_space *nested;
1515 isl_space *range;
1516
1517 if (!space)
1518 return NULL;
1519
1520 nested = space->nested[1];
1521 range = isl_space_copy(space);
1522 range = isl_space_drop_dims(range, isl_dim_out, 0, nested->n_in);
1523 if (!range)
1524 return isl_space_free(space);
1525 if (nested->tuple_id[1]) {
1526 range->tuple_id[1] = isl_id_copy(nested->tuple_id[1]);
1527 if (!range->tuple_id[1])
1528 goto error;
1529 }
1530 if (nested->nested[1]) {
1531 range->nested[1] = isl_space_copy(nested->nested[1]);
1532 if (!range->nested[1])
1533 goto error;
1534 }
1535
1536 isl_space_free(space);
1537 return range;
1538 error:
1539 isl_space_free(space);
1540 isl_space_free(range);
1541 return NULL;
1542 }
1543
1544 /* Given a space of the form A -> [B -> C], return the space A -> C.
1545 */
1546 __isl_give isl_space *isl_space_range_factor_range(
1547 __isl_take isl_space *space)
1548 {
1549 if (!space)
1550 return NULL;
1551 if (!isl_space_range_is_wrapping(space))
1552 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1553 "range not a product", return isl_space_free(space));
1554
1555 return range_factor_range(space);
1556 }
1557
1558 /* Given a space of the form [A -> B], return the space B.
1559 */
1560 static __isl_give isl_space *set_factor_range(__isl_take isl_space *space)
1561 {
1562 if (!space)
1563 return NULL;
1564 if (!isl_space_is_wrapping(space))
1565 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1566 "not a product", return isl_space_free(space));
1567
1568 return range_factor_range(space);
1569 }
1570
1571 /* Given a space of the form [A -> B] -> [C -> D], return the space B -> D.
1572 * Given a space of the form [A -> B], return the space B.
1573 */
1574 __isl_give isl_space *isl_space_factor_range(__isl_take isl_space *space)
1575 {
1576 if (!space)
1577 return NULL;
1578 if (isl_space_is_set(space))
1579 return set_factor_range(space);
1580 space = isl_space_domain_factor_range(space);
1581 space = isl_space_range_factor_range(space);
1582 return space;
1583 }
1584
1585 __isl_give isl_space *isl_space_map_from_set(__isl_take isl_space *space)
1586 {
1587 isl_ctx *ctx;
1588 isl_id **ids = NULL;
1589 int n_id;
1590
1591 if (!space)
1592 return NULL;
1593 ctx = isl_space_get_ctx(space);
1594 if (!isl_space_is_set(space))
1595 isl_die(ctx, isl_error_invalid, "not a set space", goto error);
1596 space = isl_space_cow(space);
1597 if (!space)
1598 return NULL;
1599 n_id = space->nparam + space->n_out + space->n_out;
1600 if (n_id > 0 && space->ids) {
1601 ids = isl_calloc_array(space->ctx, isl_id *, n_id);
1602 if (!ids)
1603 goto error;
1604 get_ids(space, isl_dim_param, 0, space->nparam, ids);
1605 get_ids(space, isl_dim_out, 0, space->n_out,
1606 ids + space->nparam);
1607 }
1608 space->n_in = space->n_out;
1609 if (ids) {
1610 free(space->ids);
1611 space->ids = ids;
1612 space->n_id = n_id;
1613 space = copy_ids(space, isl_dim_out, 0, space, isl_dim_in);
1614 }
1615 isl_id_free(space->tuple_id[0]);
1616 space->tuple_id[0] = isl_id_copy(space->tuple_id[1]);
1617 isl_space_free(space->nested[0]);
1618 space->nested[0] = isl_space_copy(space->nested[1]);
1619 return space;
1620 error:
1621 isl_space_free(space);
1622 return NULL;
1623 }
1624
1625 __isl_give isl_space *isl_space_map_from_domain_and_range(
1626 __isl_take isl_space *domain, __isl_take isl_space *range)
1627 {
1628 if (!domain || !range)
1629 goto error;
1630 if (!isl_space_is_set(domain))
1631 isl_die(isl_space_get_ctx(domain), isl_error_invalid,
1632 "domain is not a set space", goto error);
1633 if (!isl_space_is_set(range))
1634 isl_die(isl_space_get_ctx(range), isl_error_invalid,
1635 "range is not a set space", goto error);
1636 return isl_space_join(isl_space_reverse(domain), range);
1637 error:
1638 isl_space_free(domain);
1639 isl_space_free(range);
1640 return NULL;
1641 }
1642
1643 static __isl_give isl_space *set_ids(__isl_take isl_space *dim,
1644 enum isl_dim_type type,
1645 unsigned first, unsigned n, __isl_take isl_id **ids)
1646 {
1647 int i;
1648
1649 for (i = 0; i < n ; ++i)
1650 dim = set_id(dim, type, first + i, ids[i]);
1651
1652 return dim;
1653 }
1654
1655 __isl_give isl_space *isl_space_reverse(__isl_take isl_space *dim)
1656 {
1657 unsigned t;
1658 isl_space *nested;
1659 isl_id **ids = NULL;
1660 isl_id *id;
1661
1662 if (!dim)
1663 return NULL;
1664 if (match(dim, isl_dim_in, dim, isl_dim_out))
1665 return dim;
1666
1667 dim = isl_space_cow(dim);
1668 if (!dim)
1669 return NULL;
1670
1671 id = dim->tuple_id[0];
1672 dim->tuple_id[0] = dim->tuple_id[1];
1673 dim->tuple_id[1] = id;
1674
1675 nested = dim->nested[0];
1676 dim->nested[0] = dim->nested[1];
1677 dim->nested[1] = nested;
1678
1679 if (dim->ids) {
1680 int n_id = dim->n_in + dim->n_out;
1681 ids = isl_alloc_array(dim->ctx, isl_id *, n_id);
1682 if (n_id && !ids)
1683 goto error;
1684 get_ids(dim, isl_dim_in, 0, dim->n_in, ids);
1685 get_ids(dim, isl_dim_out, 0, dim->n_out, ids + dim->n_in);
1686 }
1687
1688 t = dim->n_in;
1689 dim->n_in = dim->n_out;
1690 dim->n_out = t;
1691
1692 if (dim->ids) {
1693 dim = set_ids(dim, isl_dim_out, 0, dim->n_out, ids);
1694 dim = set_ids(dim, isl_dim_in, 0, dim->n_in, ids + dim->n_out);
1695 free(ids);
1696 }
1697
1698 return dim;
1699 error:
1700 free(ids);
1701 isl_space_free(dim);
1702 return NULL;
1703 }
1704
1705 __isl_give isl_space *isl_space_drop_dims(__isl_take isl_space *dim,
1706 enum isl_dim_type type, unsigned first, unsigned num)
1707 {
1708 int i;
1709
1710 if (!dim)
1711 return NULL;
1712
1713 if (num == 0)
1714 return isl_space_reset(dim, type);
1715
1716 if (!valid_dim_type(type))
1717 isl_die(dim->ctx, isl_error_invalid,
1718 "cannot drop dimensions of specified type", goto error);
1719
1720 if (first + num > n(dim, type) || first + num < first)
1721 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1722 "index out of bounds", return isl_space_free(dim));
1723 dim = isl_space_cow(dim);
1724 if (!dim)
1725 goto error;
1726 if (dim->ids) {
1727 dim = extend_ids(dim);
1728 if (!dim)
1729 goto error;
1730 for (i = 0; i < num; ++i)
1731 isl_id_free(get_id(dim, type, first + i));
1732 for (i = first+num; i < n(dim, type); ++i)
1733 set_id(dim, type, i - num, get_id(dim, type, i));
1734 switch (type) {
1735 case isl_dim_param:
1736 get_ids(dim, isl_dim_in, 0, dim->n_in,
1737 dim->ids + offset(dim, isl_dim_in) - num);
1738 case isl_dim_in:
1739 get_ids(dim, isl_dim_out, 0, dim->n_out,
1740 dim->ids + offset(dim, isl_dim_out) - num);
1741 default:
1742 ;
1743 }
1744 dim->n_id -= num;
1745 }
1746 switch (type) {
1747 case isl_dim_param: dim->nparam -= num; break;
1748 case isl_dim_in: dim->n_in -= num; break;
1749 case isl_dim_out: dim->n_out -= num; break;
1750 default: ;
1751 }
1752 dim = isl_space_reset(dim, type);
1753 if (type == isl_dim_param) {
1754 if (dim && dim->nested[0] &&
1755 !(dim->nested[0] = isl_space_drop_dims(dim->nested[0],
1756 isl_dim_param, first, num)))
1757 goto error;
1758 if (dim && dim->nested[1] &&
1759 !(dim->nested[1] = isl_space_drop_dims(dim->nested[1],
1760 isl_dim_param, first, num)))
1761 goto error;
1762 }
1763 return dim;
1764 error:
1765 isl_space_free(dim);
1766 return NULL;
1767 }
1768
1769 __isl_give isl_space *isl_space_drop_inputs(__isl_take isl_space *dim,
1770 unsigned first, unsigned n)
1771 {
1772 if (!dim)
1773 return NULL;
1774 return isl_space_drop_dims(dim, isl_dim_in, first, n);
1775 }
1776
1777 __isl_give isl_space *isl_space_drop_outputs(__isl_take isl_space *dim,
1778 unsigned first, unsigned n)
1779 {
1780 if (!dim)
1781 return NULL;
1782 return isl_space_drop_dims(dim, isl_dim_out, first, n);
1783 }
1784
1785 __isl_give isl_space *isl_space_domain(__isl_take isl_space *space)
1786 {
1787 if (!space)
1788 return NULL;
1789 space = isl_space_drop_dims(space, isl_dim_out, 0, space->n_out);
1790 space = isl_space_reverse(space);
1791 space = mark_as_set(space);
1792 return space;
1793 }
1794
1795 __isl_give isl_space *isl_space_from_domain(__isl_take isl_space *dim)
1796 {
1797 if (!dim)
1798 return NULL;
1799 if (!isl_space_is_set(dim))
1800 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1801 "not a set space", goto error);
1802 dim = isl_space_reverse(dim);
1803 dim = isl_space_reset(dim, isl_dim_out);
1804 return dim;
1805 error:
1806 isl_space_free(dim);
1807 return NULL;
1808 }
1809
1810 __isl_give isl_space *isl_space_range(__isl_take isl_space *space)
1811 {
1812 if (!space)
1813 return NULL;
1814 space = isl_space_drop_dims(space, isl_dim_in, 0, space->n_in);
1815 space = mark_as_set(space);
1816 return space;
1817 }
1818
1819 __isl_give isl_space *isl_space_from_range(__isl_take isl_space *dim)
1820 {
1821 if (!dim)
1822 return NULL;
1823 if (!isl_space_is_set(dim))
1824 isl_die(isl_space_get_ctx(dim), isl_error_invalid,
1825 "not a set space", goto error);
1826 return isl_space_reset(dim, isl_dim_in);
1827 error:
1828 isl_space_free(dim);
1829 return NULL;
1830 }
1831
1832 /* Given a map space A -> B, return the map space [A -> B] -> A.
1833 */
1834 __isl_give isl_space *isl_space_domain_map(__isl_take isl_space *space)
1835 {
1836 isl_space *domain;
1837
1838 domain = isl_space_from_range(isl_space_domain(isl_space_copy(space)));
1839 space = isl_space_from_domain(isl_space_wrap(space));
1840 space = isl_space_join(space, domain);
1841
1842 return space;
1843 }
1844
1845 /* Given a map space A -> B, return the map space [A -> B] -> B.
1846 */
1847 __isl_give isl_space *isl_space_range_map(__isl_take isl_space *space)
1848 {
1849 isl_space *range;
1850
1851 range = isl_space_from_range(isl_space_range(isl_space_copy(space)));
1852 space = isl_space_from_domain(isl_space_wrap(space));
1853 space = isl_space_join(space, range);
1854
1855 return space;
1856 }
1857
1858 __isl_give isl_space *isl_space_params(__isl_take isl_space *space)
1859 {
1860 if (isl_space_is_params(space))
1861 return space;
1862 space = isl_space_drop_dims(space,
1863 isl_dim_in, 0, isl_space_dim(space, isl_dim_in));
1864 space = isl_space_drop_dims(space,
1865 isl_dim_out, 0, isl_space_dim(space, isl_dim_out));
1866 space = mark_as_params(space);
1867 return space;
1868 }
1869
1870 __isl_give isl_space *isl_space_set_from_params(__isl_take isl_space *space)
1871 {
1872 if (!space)
1873 return NULL;
1874 if (!isl_space_is_params(space))
1875 isl_die(isl_space_get_ctx(space), isl_error_invalid,
1876 "not a parameter space", goto error);
1877 return isl_space_reset(space, isl_dim_set);
1878 error:
1879 isl_space_free(space);
1880 return NULL;
1881 }
1882
1883 __isl_give isl_space *isl_space_underlying(__isl_take isl_space *dim,
1884 unsigned n_div)
1885 {
1886 int i;
1887
1888 if (!dim)
1889 return NULL;
1890 if (n_div == 0 &&
1891 dim->nparam == 0 && dim->n_in == 0 && dim->n_id == 0)
1892 return isl_space_reset(isl_space_reset(dim, isl_dim_in), isl_dim_out);
1893 dim = isl_space_cow(dim);
1894 if (!dim)
1895 return NULL;
1896 dim->n_out += dim->nparam + dim->n_in + n_div;
1897 dim->nparam = 0;
1898 dim->n_in = 0;
1899
1900 for (i = 0; i < dim->n_id; ++i)
1901 isl_id_free(get_id(dim, isl_dim_out, i));
1902 dim->n_id = 0;
1903 dim = isl_space_reset(dim, isl_dim_in);
1904 dim = isl_space_reset(dim, isl_dim_out);
1905
1906 return dim;
1907 }
1908
1909 /* Are the two spaces the same, including positions and names of parameters?
1910 */
1911 isl_bool isl_space_is_equal(__isl_keep isl_space *space1,
1912 __isl_keep isl_space *space2)
1913 {
1914 isl_bool equal;
1915
1916 if (!space1 || !space2)
1917 return isl_bool_error;
1918 if (space1 == space2)
1919 return isl_bool_true;
1920 equal = isl_space_has_equal_params(space1, space2);
1921 if (equal < 0 || !equal)
1922 return equal;
1923 return isl_space_has_equal_tuples(space1, space2);
1924 }
1925
1926 /* Is space1 equal to the domain of space2?
1927 *
1928 * In the internal version we also allow space2 to be the space of a set,
1929 * provided space1 is a parameter space.
1930 */
1931 isl_bool isl_space_is_domain_internal(__isl_keep isl_space *space1,
1932 __isl_keep isl_space *space2)
1933 {
1934 isl_bool equal_params;
1935
1936 if (!space1 || !space2)
1937 return isl_bool_error;
1938 if (!isl_space_is_set(space1))
1939 return isl_bool_false;
1940 equal_params = isl_space_has_equal_params(space1, space2);
1941 if (equal_params < 0 || !equal_params)
1942 return equal_params;
1943 return isl_space_tuple_is_equal(space1, isl_dim_set,
1944 space2, isl_dim_in);
1945 }
1946
1947 /* Is space1 equal to the domain of space2?
1948 */
1949 isl_bool isl_space_is_domain(__isl_keep isl_space *space1,
1950 __isl_keep isl_space *space2)
1951 {
1952 if (!space2)
1953 return isl_bool_error;
1954 if (!isl_space_is_map(space2))
1955 return isl_bool_false;
1956 return isl_space_is_domain_internal(space1, space2);
1957 }
1958
1959 /* Is space1 equal to the range of space2?
1960 *
1961 * In the internal version, space2 is allowed to be the space of a set,
1962 * in which case it should be equal to space1.
1963 */
1964 isl_bool isl_space_is_range_internal(__isl_keep isl_space *space1,
1965 __isl_keep isl_space *space2)
1966 {
1967 isl_bool equal_params;
1968
1969 if (!space1 || !space2)
1970 return isl_bool_error;
1971 if (!isl_space_is_set(space1))
1972 return isl_bool_false;
1973 equal_params = isl_space_has_equal_params(space1, space2);
1974 if (equal_params < 0 || !equal_params)
1975 return equal_params;
1976 return isl_space_tuple_is_equal(space1, isl_dim_set,
1977 space2, isl_dim_out);
1978 }
1979
1980 /* Is space1 equal to the range of space2?
1981 */
1982 isl_bool isl_space_is_range(__isl_keep isl_space *space1,
1983 __isl_keep isl_space *space2)
1984 {
1985 if (!space2)
1986 return isl_bool_error;
1987 if (!isl_space_is_map(space2))
1988 return isl_bool_false;
1989 return isl_space_is_range_internal(space1, space2);
1990 }
1991
1992 /* Update "hash" by hashing in the parameters of "space".
1993 */
1994 static uint32_t isl_hash_params(uint32_t hash, __isl_keep isl_space *space)
1995 {
1996 int i;
1997 isl_id *id;
1998
1999 if (!space)
2000 return hash;
2001
2002 isl_hash_byte(hash, space->nparam % 256);
2003
2004 for (i = 0; i < space->nparam; ++i) {
2005 id = get_id(space, isl_dim_param, i);
2006 hash = isl_hash_id(hash, id);
2007 }
2008
2009 return hash;
2010 }
2011
2012 /* Update "hash" by hashing in the tuples of "space".
2013 * Changes in this function should be reflected in isl_hash_tuples_domain.
2014 */
2015 static uint32_t isl_hash_tuples(uint32_t hash, __isl_keep isl_space *space)
2016 {
2017 isl_id *id;
2018
2019 if (!space)
2020 return hash;
2021
2022 isl_hash_byte(hash, space->n_in % 256);
2023 isl_hash_byte(hash, space->n_out % 256);
2024
2025 id = tuple_id(space, isl_dim_in);
2026 hash = isl_hash_id(hash, id);
2027 id = tuple_id(space, isl_dim_out);
2028 hash = isl_hash_id(hash, id);
2029
2030 hash = isl_hash_tuples(hash, space->nested[0]);
2031 hash = isl_hash_tuples(hash, space->nested[1]);
2032
2033 return hash;
2034 }
2035
2036 /* Update "hash" by hashing in the domain tuple of "space".
2037 * The result of this function is equal to the result of applying
2038 * isl_hash_tuples to the domain of "space".
2039 */
2040 static uint32_t isl_hash_tuples_domain(uint32_t hash,
2041 __isl_keep isl_space *space)
2042 {
2043 isl_id *id;
2044
2045 if (!space)
2046 return hash;
2047
2048 isl_hash_byte(hash, 0);
2049 isl_hash_byte(hash, space->n_in % 256);
2050
2051 hash = isl_hash_id(hash, &isl_id_none);
2052 id = tuple_id(space, isl_dim_in);
2053 hash = isl_hash_id(hash, id);
2054
2055 hash = isl_hash_tuples(hash, space->nested[0]);
2056
2057 return hash;
2058 }
2059
2060 /* Return a hash value that digests the tuples of "space",
2061 * i.e., that ignores the parameters.
2062 */
2063 uint32_t isl_space_get_tuple_hash(__isl_keep isl_space *space)
2064 {
2065 uint32_t hash;
2066
2067 if (!space)
2068 return 0;
2069
2070 hash = isl_hash_init();
2071 hash = isl_hash_tuples(hash, space);
2072
2073 return hash;
2074 }
2075
2076 uint32_t isl_space_get_hash(__isl_keep isl_space *space)
2077 {
2078 uint32_t hash;
2079
2080 if (!space)
2081 return 0;
2082
2083 hash = isl_hash_init();
2084 hash = isl_hash_params(hash, space);
2085 hash = isl_hash_tuples(hash, space);
2086
2087 return hash;
2088 }
2089
2090 /* Return the hash value of the domain of "space".
2091 * That is, isl_space_get_domain_hash(space) is equal to
2092 * isl_space_get_hash(isl_space_domain(space)).
2093 */
2094 uint32_t isl_space_get_domain_hash(__isl_keep isl_space *space)
2095 {
2096 uint32_t hash;
2097
2098 if (!space)
2099 return 0;
2100
2101 hash = isl_hash_init();
2102 hash = isl_hash_params(hash, space);
2103 hash = isl_hash_tuples_domain(hash, space);
2104
2105 return hash;
2106 }
2107
2108 isl_bool isl_space_is_wrapping(__isl_keep isl_space *dim)
2109 {
2110 if (!dim)
2111 return isl_bool_error;
2112
2113 if (!isl_space_is_set(dim))
2114 return isl_bool_false;
2115
2116 return dim->nested[1] != NULL;
2117 }
2118
2119 /* Is "space" the space of a map where the domain is a wrapped map space?
2120 */
2121 isl_bool isl_space_domain_is_wrapping(__isl_keep isl_space *space)
2122 {
2123 if (!space)
2124 return isl_bool_error;
2125
2126 if (isl_space_is_set(space))
2127 return isl_bool_false;
2128
2129 return space->nested[0] != NULL;
2130 }
2131
2132 /* Is "space" the space of a map where the range is a wrapped map space?
2133 */
2134 isl_bool isl_space_range_is_wrapping(__isl_keep isl_space *space)
2135 {
2136 if (!space)
2137 return isl_bool_error;
2138
2139 if (isl_space_is_set(space))
2140 return isl_bool_false;
2141
2142 return space->nested[1] != NULL;
2143 }
2144
2145 /* Is "space" a product of two spaces?
2146 * That is, is it a wrapping set space or a map space
2147 * with wrapping domain and range?
2148 */
2149 isl_bool isl_space_is_product(__isl_keep isl_space *space)
2150 {
2151 isl_bool is_set;
2152 isl_bool is_product;
2153
2154 is_set = isl_space_is_set(space);
2155 if (is_set < 0)
2156 return isl_bool_error;
2157 if (is_set)
2158 return isl_space_is_wrapping(space);
2159 is_product = isl_space_domain_is_wrapping(space);
2160 if (is_product < 0 || !is_product)
2161 return is_product;
2162 return isl_space_range_is_wrapping(space);
2163 }
2164
2165 __isl_give isl_space *isl_space_wrap(__isl_take isl_space *dim)
2166 {
2167 isl_space *wrap;
2168
2169 if (!dim)
2170 return NULL;
2171
2172 wrap = isl_space_set_alloc(dim->ctx,
2173 dim->nparam, dim->n_in + dim->n_out);
2174
2175 wrap = copy_ids(wrap, isl_dim_param, 0, dim, isl_dim_param);
2176 wrap = copy_ids(wrap, isl_dim_set, 0, dim, isl_dim_in);
2177 wrap = copy_ids(wrap, isl_dim_set, dim->n_in, dim, isl_dim_out);
2178
2179 if (!wrap)
2180 goto error;
2181
2182 wrap->nested[1] = dim;
2183
2184 return wrap;
2185 error:
2186 isl_space_free(dim);
2187 return NULL;
2188 }
2189
2190 __isl_give isl_space *isl_space_unwrap(__isl_take isl_space *dim)
2191 {
2192 isl_space *unwrap;
2193
2194 if (!dim)
2195 return NULL;
2196
2197 if (!isl_space_is_wrapping(dim))
2198 isl_die(dim->ctx, isl_error_invalid, "not a wrapping space",
2199 goto error);
2200
2201 unwrap = isl_space_copy(dim->nested[1]);
2202 isl_space_free(dim);
2203
2204 return unwrap;
2205 error:
2206 isl_space_free(dim);
2207 return NULL;
2208 }
2209
2210 isl_bool isl_space_is_named_or_nested(__isl_keep isl_space *space,
2211 enum isl_dim_type type)
2212 {
2213 if (type != isl_dim_in && type != isl_dim_out)
2214 return isl_bool_false;
2215 if (!space)
2216 return isl_bool_error;
2217 if (space->tuple_id[type - isl_dim_in])
2218 return isl_bool_true;
2219 if (space->nested[type - isl_dim_in])
2220 return isl_bool_true;
2221 return isl_bool_false;
2222 }
2223
2224 isl_bool isl_space_may_be_set(__isl_keep isl_space *space)
2225 {
2226 isl_bool nested;
2227
2228 if (!space)
2229 return isl_bool_error;
2230 if (isl_space_is_set(space))
2231 return isl_bool_true;
2232 if (isl_space_dim(space, isl_dim_in) != 0)
2233 return isl_bool_false;
2234 nested = isl_space_is_named_or_nested(space, isl_dim_in);
2235 if (nested < 0 || nested)
2236 return isl_bool_not(nested);
2237 return isl_bool_true;
2238 }
2239
2240 __isl_give isl_space *isl_space_reset(__isl_take isl_space *dim,
2241 enum isl_dim_type type)
2242 {
2243 if (!isl_space_is_named_or_nested(dim, type))
2244 return dim;
2245
2246 dim = isl_space_cow(dim);
2247 if (!dim)
2248 return NULL;
2249
2250 isl_id_free(dim->tuple_id[type - isl_dim_in]);
2251 dim->tuple_id[type - isl_dim_in] = NULL;
2252 isl_space_free(dim->nested[type - isl_dim_in]);
2253 dim->nested[type - isl_dim_in] = NULL;
2254
2255 return dim;
2256 }
2257
2258 __isl_give isl_space *isl_space_flatten(__isl_take isl_space *dim)
2259 {
2260 if (!dim)
2261 return NULL;
2262 if (!dim->nested[0] && !dim->nested[1])
2263 return dim;
2264
2265 if (dim->nested[0])
2266 dim = isl_space_reset(dim, isl_dim_in);
2267 if (dim && dim->nested[1])
2268 dim = isl_space_reset(dim, isl_dim_out);
2269
2270 return dim;
2271 }
2272
2273 __isl_give isl_space *isl_space_flatten_domain(__isl_take isl_space *space)
2274 {
2275 if (!space)
2276 return NULL;
2277 if (!space->nested[0])
2278 return space;
2279
2280 return isl_space_reset(space, isl_dim_in);
2281 }
2282
2283 __isl_give isl_space *isl_space_flatten_range(__isl_take isl_space *space)
2284 {
2285 if (!space)
2286 return NULL;
2287 if (!space->nested[1])
2288 return space;
2289
2290 return isl_space_reset(space, isl_dim_out);
2291 }
2292
2293 /* Replace the parameters of dst by those of src.
2294 */
2295 __isl_give isl_space *isl_space_replace_params(__isl_take isl_space *dst,
2296 __isl_keep isl_space *src)
2297 {
2298 enum isl_dim_type type = isl_dim_param;
2299
2300 dst = isl_space_cow(dst);
2301
2302 if (!dst || !src)
2303 goto error;
2304
2305 dst = isl_space_drop_dims(dst, type, 0, isl_space_dim(dst, type));
2306 dst = isl_space_add_dims(dst, type, isl_space_dim(src, type));
2307 dst = copy_ids(dst, type, 0, src, type);
2308
2309 if (dst) {
2310 int i;
2311 for (i = 0; i <= 1; ++i) {
2312 if (!dst->nested[i])
2313 continue;
2314 dst->nested[i] = isl_space_replace_params(
2315 dst->nested[i], src);
2316 if (!dst->nested[i])
2317 goto error;
2318 }
2319 }
2320
2321 return dst;
2322 error:
2323 isl_space_free(dst);
2324 return NULL;
2325 }
2326
2327 /* Given a dimension specification "dim" of a set, create a dimension
2328 * specification for the lift of the set. In particular, the result
2329 * is of the form [dim -> local[..]], with n_local variables in the
2330 * range of the wrapped map.
2331 */
2332 __isl_give isl_space *isl_space_lift(__isl_take isl_space *dim, unsigned n_local)
2333 {
2334 isl_space *local_dim;
2335
2336 if (!dim)
2337 return NULL;
2338
2339 local_dim = isl_space_dup(dim);
2340 local_dim = isl_space_drop_dims(local_dim, isl_dim_set, 0, dim->n_out);
2341 local_dim = isl_space_add_dims(local_dim, isl_dim_set, n_local);
2342 local_dim = isl_space_set_tuple_name(local_dim, isl_dim_set, "local");
2343 dim = isl_space_join(isl_space_from_domain(dim),
2344 isl_space_from_range(local_dim));
2345 dim = isl_space_wrap(dim);
2346 dim = isl_space_set_tuple_name(dim, isl_dim_set, "lifted");
2347
2348 return dim;
2349 }
2350
2351 isl_bool isl_space_can_zip(__isl_keep isl_space *space)
2352 {
2353 isl_bool is_set;
2354
2355 is_set = isl_space_is_set(space);
2356 if (is_set < 0)
2357 return isl_bool_error;
2358 if (is_set)
2359 return isl_bool_false;
2360 return isl_space_is_product(space);
2361 }
2362
2363 __isl_give isl_space *isl_space_zip(__isl_take isl_space *dim)
2364 {
2365 isl_space *dom, *ran;
2366 isl_space *dom_dom, *dom_ran, *ran_dom, *ran_ran;
2367
2368 if (!isl_space_can_zip(dim))
2369 isl_die(dim->ctx, isl_error_invalid, "dim cannot be zipped",
2370 goto error);
2371
2372 if (!dim)
2373 return NULL;
2374 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(dim)));
2375 ran = isl_space_unwrap(isl_space_range(dim));
2376 dom_dom = isl_space_domain(isl_space_copy(dom));
2377 dom_ran = isl_space_range(dom);
2378 ran_dom = isl_space_domain(isl_space_copy(ran));
2379 ran_ran = isl_space_range(ran);
2380 dom = isl_space_join(isl_space_from_domain(dom_dom),
2381 isl_space_from_range(ran_dom));
2382 ran = isl_space_join(isl_space_from_domain(dom_ran),
2383 isl_space_from_range(ran_ran));
2384 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2385 isl_space_from_range(isl_space_wrap(ran)));
2386 error:
2387 isl_space_free(dim);
2388 return NULL;
2389 }
2390
2391 /* Can we apply isl_space_curry to "space"?
2392 * That is, does it have a nested relation in its domain?
2393 */
2394 isl_bool isl_space_can_curry(__isl_keep isl_space *space)
2395 {
2396 if (!space)
2397 return isl_bool_error;
2398
2399 return !!space->nested[0];
2400 }
2401
2402 /* Given a space (A -> B) -> C, return the corresponding space
2403 * A -> (B -> C).
2404 */
2405 __isl_give isl_space *isl_space_curry(__isl_take isl_space *space)
2406 {
2407 isl_space *dom, *ran;
2408 isl_space *dom_dom, *dom_ran;
2409
2410 if (!space)
2411 return NULL;
2412
2413 if (!isl_space_can_curry(space))
2414 isl_die(space->ctx, isl_error_invalid,
2415 "space cannot be curried", goto error);
2416
2417 dom = isl_space_unwrap(isl_space_domain(isl_space_copy(space)));
2418 ran = isl_space_range(space);
2419 dom_dom = isl_space_domain(isl_space_copy(dom));
2420 dom_ran = isl_space_range(dom);
2421 ran = isl_space_join(isl_space_from_domain(dom_ran),
2422 isl_space_from_range(ran));
2423 return isl_space_join(isl_space_from_domain(dom_dom),
2424 isl_space_from_range(isl_space_wrap(ran)));
2425 error:
2426 isl_space_free(space);
2427 return NULL;
2428 }
2429
2430 /* Can isl_space_range_curry be applied to "space"?
2431 * That is, does it have a nested relation in its range,
2432 * the domain of which is itself a nested relation?
2433 */
2434 isl_bool isl_space_can_range_curry(__isl_keep isl_space *space)
2435 {
2436 isl_bool can;
2437
2438 if (!space)
2439 return isl_bool_error;
2440 can = isl_space_range_is_wrapping(space);
2441 if (can < 0 || !can)
2442 return can;
2443 return isl_space_can_curry(space->nested[1]);
2444 }
2445
2446 /* Given a space A -> ((B -> C) -> D), return the corresponding space
2447 * A -> (B -> (C -> D)).
2448 */
2449 __isl_give isl_space *isl_space_range_curry(__isl_take isl_space *space)
2450 {
2451 if (!space)
2452 return NULL;
2453
2454 if (!isl_space_can_range_curry(space))
2455 isl_die(isl_space_get_ctx(space), isl_error_invalid,
2456 "space range cannot be curried",
2457 return isl_space_free(space));
2458
2459 space = isl_space_cow(space);
2460 if (!space)
2461 return NULL;
2462 space->nested[1] = isl_space_curry(space->nested[1]);
2463 if (!space->nested[1])
2464 return isl_space_free(space);
2465
2466 return space;
2467 }
2468
2469 /* Can we apply isl_space_uncurry to "space"?
2470 * That is, does it have a nested relation in its range?
2471 */
2472 isl_bool isl_space_can_uncurry(__isl_keep isl_space *space)
2473 {
2474 if (!space)
2475 return isl_bool_error;
2476
2477 return !!space->nested[1];
2478 }
2479
2480 /* Given a space A -> (B -> C), return the corresponding space
2481 * (A -> B) -> C.
2482 */
2483 __isl_give isl_space *isl_space_uncurry(__isl_take isl_space *space)
2484 {
2485 isl_space *dom, *ran;
2486 isl_space *ran_dom, *ran_ran;
2487
2488 if (!space)
2489 return NULL;
2490
2491 if (!isl_space_can_uncurry(space))
2492 isl_die(space->ctx, isl_error_invalid,
2493 "space cannot be uncurried",
2494 return isl_space_free(space));
2495
2496 dom = isl_space_domain(isl_space_copy(space));
2497 ran = isl_space_unwrap(isl_space_range(space));
2498 ran_dom = isl_space_domain(isl_space_copy(ran));
2499 ran_ran = isl_space_range(ran);
2500 dom = isl_space_join(isl_space_from_domain(dom),
2501 isl_space_from_range(ran_dom));
2502 return isl_space_join(isl_space_from_domain(isl_space_wrap(dom)),
2503 isl_space_from_range(ran_ran));
2504 }
2505
2506 isl_bool isl_space_has_named_params(__isl_keep isl_space *space)
2507 {
2508 int i;
2509 unsigned off;
2510
2511 if (!space)
2512 return isl_bool_error;
2513 if (space->nparam == 0)
2514 return isl_bool_true;
2515 off = isl_space_offset(space, isl_dim_param);
2516 if (off + space->nparam > space->n_id)
2517 return isl_bool_false;
2518 for (i = 0; i < space->nparam; ++i)
2519 if (!space->ids[off + i])
2520 return isl_bool_false;
2521 return isl_bool_true;
2522 }
2523
2524 /* Check that "space" has only named parameters, reporting an error
2525 * if it does not.
2526 */
2527 isl_stat isl_space_check_named_params(__isl_keep isl_space *space)
2528 {
2529 isl_bool named;
2530
2531 named = isl_space_has_named_params(space);
2532 if (named < 0)
2533 return isl_stat_error;
2534 if (!named)
2535 isl_die(isl_space_get_ctx(space), isl_error_invalid,
2536 "unaligned unnamed parameters", return isl_stat_error);
2537
2538 return isl_stat_ok;
2539 }
2540
2541 /* Align the initial parameters of dim1 to match the order in dim2.
2542 */
2543 __isl_give isl_space *isl_space_align_params(__isl_take isl_space *dim1,
2544 __isl_take isl_space *dim2)
2545 {
2546 isl_reordering *exp;
2547
2548 if (!isl_space_has_named_params(dim1) || !isl_space_has_named_params(dim2))
2549 isl_die(isl_space_get_ctx(dim1), isl_error_invalid,
2550 "parameter alignment requires named parameters",
2551 goto error);
2552
2553 dim2 = isl_space_params(dim2);
2554 exp = isl_parameter_alignment_reordering(dim1, dim2);
2555 exp = isl_reordering_extend_space(exp, dim1);
2556 isl_space_free(dim2);
2557 if (!exp)
2558 return NULL;
2559 dim1 = isl_space_copy(exp->dim);
2560 isl_reordering_free(exp);
2561 return dim1;
2562 error:
2563 isl_space_free(dim1);
2564 isl_space_free(dim2);
2565 return NULL;
2566 }
2567
2568 /* Given the space of set (domain), construct a space for a map
2569 * with as domain the given space and as range the range of "model".
2570 */
2571 __isl_give isl_space *isl_space_extend_domain_with_range(
2572 __isl_take isl_space *space, __isl_take isl_space *model)
2573 {
2574 if (!model)
2575 goto error;
2576
2577 space = isl_space_from_domain(space);
2578 space = isl_space_add_dims(space, isl_dim_out,
2579 isl_space_dim(model, isl_dim_out));
2580 if (isl_space_has_tuple_id(model, isl_dim_out))
2581 space = isl_space_set_tuple_id(space, isl_dim_out,
2582 isl_space_get_tuple_id(model, isl_dim_out));
2583 if (!space)
2584 goto error;
2585 if (model->nested[1]) {
2586 isl_space *nested = isl_space_copy(model->nested[1]);
2587 int n_nested, n_space;
2588 nested = isl_space_align_params(nested, isl_space_copy(space));
2589 n_nested = isl_space_dim(nested, isl_dim_param);
2590 n_space = isl_space_dim(space, isl_dim_param);
2591 if (n_nested > n_space)
2592 nested = isl_space_drop_dims(nested, isl_dim_param,
2593 n_space, n_nested - n_space);
2594 if (!nested)
2595 goto error;
2596 space->nested[1] = nested;
2597 }
2598 isl_space_free(model);
2599 return space;
2600 error:
2601 isl_space_free(model);
2602 isl_space_free(space);
2603 return NULL;
2604 }
2605
2606 /* Compare the "type" dimensions of two isl_spaces.
2607 *
2608 * The order is fairly arbitrary.
2609 */
2610 static int isl_space_cmp_type(__isl_keep isl_space *space1,
2611 __isl_keep isl_space *space2, enum isl_dim_type type)
2612 {
2613 int cmp;
2614 isl_space *nested1, *nested2;
2615
2616 if (isl_space_dim(space1, type) != isl_space_dim(space2, type))
2617 return isl_space_dim(space1, type) -
2618 isl_space_dim(space2, type);
2619
2620 cmp = isl_id_cmp(tuple_id(space1, type), tuple_id(space2, type));
2621 if (cmp != 0)
2622 return cmp;
2623
2624 nested1 = nested(space1, type);
2625 nested2 = nested(space2, type);
2626 if (!nested1 != !nested2)
2627 return !nested1 - !nested2;
2628
2629 if (nested1)
2630 return isl_space_cmp(nested1, nested2);
2631
2632 return 0;
2633 }
2634
2635 /* Compare two isl_spaces.
2636 *
2637 * The order is fairly arbitrary.
2638 */
2639 int isl_space_cmp(__isl_keep isl_space *space1, __isl_keep isl_space *space2)
2640 {
2641 int i;
2642 int cmp;
2643
2644 if (space1 == space2)
2645 return 0;
2646 if (!space1)
2647 return -1;
2648 if (!space2)
2649 return 1;
2650
2651 cmp = isl_space_cmp_type(space1, space2, isl_dim_param);
2652 if (cmp != 0)
2653 return cmp;
2654 cmp = isl_space_cmp_type(space1, space2, isl_dim_in);
2655 if (cmp != 0)
2656 return cmp;
2657 cmp = isl_space_cmp_type(space1, space2, isl_dim_out);
2658 if (cmp != 0)
2659 return cmp;
2660
2661 if (!space1->ids && !space2->ids)
2662 return 0;
2663
2664 for (i = 0; i < n(space1, isl_dim_param); ++i) {
2665 cmp = isl_id_cmp(get_id(space1, isl_dim_param, i),
2666 get_id(space2, isl_dim_param, i));
2667 if (cmp != 0)
2668 return cmp;
2669 }
2670
2671 return 0;
2672 }
Integer set library